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240040464 = 24340912227
BaseRepresentation
bin11100100111010…
…11101000010000
3121201200022121120
432103223220100
5442422243324
635452522240
75643211266
oct1623535020
9551608546
10240040464
11113550a54
1268480380
133a9663a1
1423c46436
1516118179
hexe4eba10

240040464 has 40 divisors (see below), whose sum is σ = 621671520. Its totient is φ = 79811328.

The previous prime is 240040447. The next prime is 240040477. The reversal of 240040464 is 464040042.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13519 + ... + 25745.

It is an arithmetic number, because the mean of its divisors is an integer number (15541788).

Almost surely, 2240040464 is an apocalyptic number.

240040464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240040464 is an abundant number, since it is smaller than the sum of its proper divisors (381631056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

240040464 is a wasteful number, since it uses less digits than its factorization.

240040464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12647 (or 12641 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 240040464 is about 15493.2392997720. The cubic root of 240040464 is about 621.4814245215.

The spelling of 240040464 in words is "two hundred forty million, forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 409 818 1227 1636 2454 3272 4908 6544 9816 12227 19632 24454 36681 48908 73362 97816 146724 195632 293448 586896 5000843 10001686 15002529 20003372 30005058 40006744 60010116 80013488 120020232 240040464